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Real count data time series often show the phenomenon of the underdispersion and overdispersion. In this paper, we develop two extensions of the first-order integer-valued autoregressive process with Poisson innovations, based on binomial…

统计方法学 · 统计学 2020-07-27 Marcelo Bourguignon , Josemar Rodrigues , Manoel Santos-Neto

We introduce an online outlier detection algorithm to detect outliers in a sequentially observed data stream. For this purpose, we use a two-stage filtering and hedging approach. In the first stage, we construct a multi-modal probability…

机器学习 · 计算机科学 2018-03-13 Mohammadreza Mohaghegh Neyshabouri , Suleyman Serdar Kozat

Recent advances in technology have brought major breakthroughs in data collection, enabling a large amount of data to be gathered over time and thus generating time series. Mining this data has become an important task for researchers and…

机器学习 · 计算机科学 2020-02-12 Ane Blázquez-García , Angel Conde , Usue Mori , Jose A. Lozano

Outlier detection has gained increasing interest in recent years, due to newly emerging technologies and the huge amount of high-dimensional data that are now available. Outlier detection can help practitioners to identify unwanted noise…

统计理论 · 数学 2021-05-20 Mads Lindskou , Torben Tvedebrink , Poul Svante Eriksen , Niels Morling

In this paper the integer-valued autoregressive model of order one, contaminated with additive or innovational outliers is studied in some detail. Moreover, parameter estimation is also addressed. Supposing that the time points of the…

概率论 · 数学 2010-02-28 Matyas Barczy , Marton Ispany , Gyula Pap , Manuel Scotto , Maria Eduarda Silva

The presence of outliers is prevalent in machine learning applications and may produce misleading results. In this paper a new method for dealing with outliers and anomal samples is proposed. To overcome the outlier issue, the proposed…

机器学习 · 计算机科学 2016-07-05 Parsa Bagherzadeh , Hadi Sadoghi Yazdi

Dynamic factor models have a wide range of applications in econometrics and applied economics. The basic motivation resides in their capability of reducing a large set of time series to only few indicators (factors). If the number of time…

统计理论 · 数学 2009-09-29 Roberto Baragona , Francesco Battaglia

A novel method for sequential outlier detection in non-stationary time series is proposed. The method tests the null hypothesis of ``no outlier'' at each time point, addressing the multiple testing problem by bounding the error probability…

统计理论 · 数学 2025-02-26 Florian Heinrichs , Patrick Bastian , Holger Dette

Outlier detection of semiconductor devices is important since manufacturing variation is inherently inevitable. In order to properly detect outliers, it is necessary to consider the discrepancy from underlying trend. Conventional methods…

系统与控制 · 电气工程与系统科学 2022-01-26 Kyohei Shimozato , Michihiro Shintani , Takashi Sato

In this study, we consider a problem of monitoring parameter changes particularly in the presence of outliers. To propose a sequential procedure that is robust against outliers, we use the density power divergence to derive a detector and…

统计方法学 · 统计学 2021-06-29 Junmo Song

In this paper, we introduce the first-order integer-valued autoregressive (INAR(1)) model, with Poisson-Lindley innovations based on power series thinning operator. Some mathematical features of this process are given and estimating the…

应用统计 · 统计学 2018-10-08 Eisa Mahmoudi , Ameneh Rostami , Rasool Roozegar

The detection of outliers is of critical importance in the assurance of data quality. Outliers may exist in observed data or in data derived from these observed data, such as estimates and forecasts. An outlier may indicate a problem with…

统计方法学 · 统计学 2025-10-23 Charles D. Coleman , Thomas Bryan

Pulsar-timing datasets have been analyzed with great success using probabilistic treatments based on Gaussian distributions, with applications ranging from studies of neutron-star structure to tests of general relativity and searches for…

天体物理仪器与方法 · 物理学 2017-02-01 Michele Vallisneri , Rutger van Haasteren

Outlier detection is a crucial analytical tool in various fields. In critical systems like manufacturing, malfunctioning outlier detection can be costly and safety-critical. Therefore, there is a significant need for explainable artificial…

机器学习 · 计算机科学 2025-02-04 Patrick Knab , Sascha Marton , Christian Bartelt , Robert Fuder

We study the problem of intervention effects generating various types of outliers in an integer-valued autoregressive model with Poisson innovations. We concentrate on outliers which enter the dynamics and can be seen as effects of…

统计方法学 · 统计学 2023-03-15 Xanthi Pedeli , Roland Fried

While anomaly detection in time series has been an active area of research for several years, most recent approaches employ an inadequate evaluation criterion leading to an inflated F1 score. We show that a rudimentary Random Guess method…

机器学习 · 计算机科学 2022-03-11 Keval Doshi , Shatha Abudalou , Yasin Yilmaz

Continuous-time event sequences represent discrete events occurring in continuous time. Such sequences arise frequently in real-life. Usually we expect the sequences to follow some regular pattern over time. However, sometimes these…

机器学习 · 计算机科学 2021-06-15 Siqi Liu , Milos Hauskrecht

Outlier detection is a significant area in data mining. It can be either used to pre-process the data prior to an analysis or post the processing phase (before visualization) depending on the effectiveness of the outlier and its importance.…

机器学习 · 统计学 2021-06-22 Jacob John

Event sequence data record the occurrences of events in continuous time. Event sequence forecasting based on temporal point processes (TPPs) has been extensively studied, but outlier or anomaly detection, especially without any supervision…

机器学习 · 计算机科学 2024-11-26 Somjit Nath , Yik Chau Lui , Siqi Liu

This note investigates the problem of detecting outliers in longitudinal data. It compares well-known methods used in official statistics with proposals from the fields of data mining and machine learning that are based on the distance…

统计方法学 · 统计学 2025-07-30 Marcello D'Orazio
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